Geodesic
On the Irrationality Measure of $\ln7$
Matematičeskie zametki, Tome 107 (2020) no. 3, pp. 366-375.

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Using an integral construction based on symmetrized polynomials, we obtain a new estimate for the irrationality measure of the number $\ln7$. This estimate improves a result due to Wu, which was proved in 2002.
Keywords: irrationality measure, linear forms, Laplace theorem, saddle-point method. 
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I. V. Bondareva; M. Yu. Luchin; V. Kh. Salikhov. On the Irrationality Measure of $\ln7$. Matematičeskie zametki, Tome 107 (2020) no. 3, pp. 366-375. http://geodesic.mathdoc.fr/item/MZM_2020_107_3_a3/

[1] Q. Wu, “On the linear independence measure of logarithms of rational numbers”, Math. Comp., 72:242 (2002), 901–911 | DOI | MR

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[3] V. Kh. Salikhov, “O mere irratsionalnosti $\ln3$”, Dokl. AN, 417:6 (2007), 753–755 | MR

[4] Q. Wu, L. Wang, “On the irrationality measure of $\log3$”, J. Number Theory, 142 (2014), 264–273 | DOI | MR